{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "-0.07736943907156674\n",
      "0.1927536231884058\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib\n",
    "\n",
    "matplotlib.rcParams['svg.fonttype'] = 'none'\n",
    "# 数据\n",
    "data = [[[26.0, 34, 34.0], [74.0, 36, 36.0], [58.0, 43, 42.0], [30.0, 21, 16.0], [38.0, 26, 26.0], [38.0, 38, 38.0], [24.0, 27, 26.0], [26.0, 26, 21.0], [48.0, 48, 48.0], [44.0, 32, 32.0], [52.0, 33, 32.0], [30.0, 44, 44.0], [44.0, 44, 44.0], [64.0, 38, 36.0], [30.0, 33, 26.0], [24.0, 26, 20.0], [44.0, 57, 54.0], [32.0, 26, 26.0], [34.0, 41, 38.0], [68.0, 68, 68.0], [48.0, 27, 21.0], [24.0, 20, 20.0], [28.0, 36, 36.0], [52.0, 38, 32.0], [18.0, 22, 18.0], [82.0, 101, 98.0], [64.0, 52, 52.0], [24.0, 22, 22.0], [24.0, 23, 23.0], [56.0, 38, 38.0], [40.0, 26, 24.0], [38.0, 34, 30.0], [20.0, 23, 21.0], [34.0, 25, 24.0], [40.0, 29, 26.0], [94.0, 67, 66.0], [28.0, 23, 22.0], [50.0, 38, 38.0], [30.0, 36, 36.0], [44.0, 36, 34.0], [34.0, 26, 25.0], [46.0, 29, 28.0], [34.0, 34, 34.0], [40.0, 28, 28.0], [27.0, 24, 22.0], [36.0, 28, 28.0], [32.0, 42, 42.0], [42.0, 39, 36.0], [36.0, 26, 26.0], [26.0, 30, 28.0], [40.0, 40, 40.0], [30.0, 24, 20.0], [46.0, 34, 34.0], [60.0, 33, 32.0], [48.0, 55, 48.0], [28.0, 24, 24.0], [60.0, 60, 60.0], [24.0, 24, 24.0], [36.0, 34, 34.0], [40.0, 40, 40.0], [28.0, 25, 22.0], [32.0, 28, 28.0], [64.0, 30, 24.0], [26.0, 31, 28.0]], [[22.0, 24, 24.0], [24.0, 24, 24.0], [22.0, 22, 20.0], [28.0, 19, 18.0], [26.0, 19, 19.0], [28.0, 26, 22.0], [30.0, 28, 28.0], [17.0, 31, 28.0], [35.0, 35, 32.0], [46.0, 40, 40.0], [18.0, 17, 14.0], [26.0, 29, 26.0], [38.0, 24, 23.0], [18.0, 19, 17.0], [46.0, 16, 14.0], [24.0, 23, 18.0], [16.0, 19, 18.0], [28.0, 22, 22.0], [22.0, 32, 30.0], [36.0, 22, 21.0], [19.0, 25, 22.0], [36.0, 36, 36.0], [14.0, 19, 14.0], [28.0, 43, 40.0], [48.0, 34, 31.0], [21.0, 23, 22.0], [38.0, 20, 16.0], [36.0, 25, 24.0], [24.0, 17, 16.0], [26.0, 21, 18.0], [30.0, 25, 22.0], [50.0, 26, 22.0], [26.0, 22, 22.0], [21.0, 20, 20.0], [28.0, 28, 26.0], [52.0, 28, 28.0], [26.0, 21, 18.0], [32.0, 36, 36.0], [19.0, 24, 21.0], [26.0, 28, 26.0], [20.0, 24, 20.0], [52.0, 30, 28.0], [24.0, 21, 20.0], [60.0, 21, 20.0], [27.0, 25, 22.0], [20.0, 16, 14.0], [34.0, 25, 24.0], [20.0, 27, 23.0], [20.0, 22, 19.0], [19.0, 16, 16.0], [22.0, 21, 19.0], [20.0, 22, 22.0], [35.0, 22, 17.0], [24.0, 20, 16.0], [18.0, 21, 21.0], [20.0, 28, 23.0], [16.0, 18, 14.0], [22.0, 18, 18.0], [46.0, 31, 22.0], [20.0, 24, 24.0], [44.0, 22, 22.0], [20.0, 25, 24.0], [20.0, 22, 22.0], [34.0, 22, 20.0]], [[30.0, 23, 20.0], [28.0, 32, 32.0], [20.0, 39, 34.0], [14.0, 18, 16.0], [18.0, 18, 16.0], [21.0, 21, 20.0], [30.0, 33, 30.0], [18.0, 16, 14.0], [20.0, 18, 16.0], [18.0, 21, 20.0], [34.0, 18, 18.0], [20.0, 17, 16.0], [16.0, 20, 18.0], [34.0, 17, 16.0], [22.0, 26, 26.0], [18.0, 20, 12.0], [24.0, 24, 24.0], [24.0, 26, 22.0], [18.0, 18, 16.0], [20.0, 16, 16.0], [40.0, 22, 16.0], [36.0, 45, 40.0], [24.0, 26, 26.0], [30.0, 31, 28.0], [32.0, 22, 22.0], [16.0, 18, 14.0], [21.0, 24, 24.0], [22.0, 16, 16.0], [22.0, 27, 24.0], [26.0, 25, 22.0], [22.0, 21, 18.0], [19.0, 21, 20.0], [12.0, 12, 9.0], [28.0, 29, 28.0], [34.0, 18, 17.0], [20.0, 22, 22.0], [16.0, 14, 12.0], [20.0, 24, 24.0], [24.0, 24, 24.0], [20.0, 18, 18.0], [20.0, 25, 24.0], [30.0, 20, 18.0], [16.0, 20, 18.0], [32.0, 22, 22.0], [36.0, 15, 14.0], [18.0, 21, 19.0], [18.0, 26, 20.0], [13.0, 17, 14.0], [25.0, 19, 16.0], [30.0, 18, 16.0], [23.0, 16, 14.0], [28.0, 21, 20.0], [18.0, 13, 12.0], [26.0, 32, 32.0], [16.0, 20, 20.0], [22.0, 18, 16.0], [13.0, 20, 18.0], [20.0, 20, 18.0], [22.0, 21, 18.0], [26.0, 17, 17.0], [22.0, 20, 16.0], [19.0, 26, 24.0], [25.0, 24, 24.0], [16.0, 19, 19.0]], [[20.0, 18, 18.0], [14.0, 15, 14.0], [18.0, 17, 16.0], [26.0, 16, 14.0], [16.0, 14, 12.0], [18.0, 18, 14.0], [20.0, 14, 12.0], [14.0, 17, 13.0], [14.0, 18, 16.0], [40.0, 22, 22.0], [18.0, 20, 20.0], [26.0, 20, 20.0], [14.0, 16, 14.0], [34.0, 20, 20.0], [30.0, 22, 22.0], [28.0, 14, 14.0], [22.0, 17, 12.0], [12.0, 14, 14.0], [16.0, 14, 12.0], [20.0, 17, 16.0], [24.0, 26, 24.0], [14.0, 14, 12.0], [14.0, 20, 18.0], [22.0, 19, 14.0], [30.0, 21, 20.0], [14.0, 15, 14.0], [20.0, 20, 18.0], [12.0, 12, 10.0], [12.0, 14, 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[11.0, 15, 10.0], [8.0, 11, 8.0], [10.0, 13, 12.0], [14.0, 16, 14.0], [8.0, 10, 8.0], [7.0, 7, 6.0], [6.0, 12, 10.0], [14.0, 10, 10.0], [7.0, 10, 7.0], [9.0, 13, 10.0], [8.0, 14, 13.0]]]\n",
    "\n",
    "mean_data = []\n",
    "\n",
    "# 计算均值\n",
    "for i in data:\n",
    "    mean_data.append(np.mean(i, axis=0))\n",
    "\n",
    "# 提取 num_node 数组\n",
    "alphas = [0.2 + round_idx * 0.05 for round_idx in range(len(data))]\n",
    "\n",
    "# 提取三个参数的均值列\n",
    "# sp_gd = [item[0] for item in mean_data]\n",
    "sp_psp = [item[0] for item in mean_data]\n",
    "rpd_gd = [item[1] for item in mean_data]\n",
    "rpsp = [item[2] for item in mean_data]\n",
    "\n",
    "# 提取三个参数的均值列\n",
    "sp_psp_mean = np.mean(sp_psp)\n",
    "rpd_gd_mean = np.mean(rpd_gd)\n",
    "rpsp_mean = np.mean(rpsp)\n",
    "\n",
    "print((sp_psp[19] - rpsp[19]) / sp_psp[19])\n",
    "print((rpd_gd[19] - rpsp[19]) / rpd_gd[19])\n",
    "\n",
    "# print((sp_psp_mean - rpsp_mean) / sp_psp_mean)\n",
    "# print((rpd_gd_mean - rpsp_mean) / rpd_gd_mean)\n",
    "\n",
    "# 可视化\n",
    "plt.figure(figsize=(8, 6))\n",
    "# plt.plot(alphas, sp_gd, label='shortest_path + greedy_ps_provision', marker='p')\n",
    "plt.plot(alphas, sp_psp, label='sp_psp', marker='o')\n",
    "plt.plot(alphas, rpd_gd, label='rpd_gd', marker='s')\n",
    "plt.plot(alphas, rpsp, label='rpsp-he', marker='^')\n",
    "\n",
    "plt.xlabel('Waxman Alpha')\n",
    "plt.ylabel('Used Time Slots')\n",
    "plt.title('node_num=60, sd_num=50')\n",
    "plt.legend()\n",
    "plt.grid(True)\n",
    "plt.savefig(\"var_alpha.svg\", format=\"svg\")\n",
    "plt.show()\n"
   ]
  }
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